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232220100501020 = 225233738213570781
BaseRepresentation
bin110100110011001111110100…
…100110011001111000011100
31010110020000200002002121020202
4310303033310212121320130
5220414143231212013040
62141520235203203032
766625230366632642
oct6463176446317034
91113200602077222
10232220100501020
1167aa0a9a8492a5
1222065989976478
139c76352716b38
14414b727309192
151bca89ec89015
hexd333f4999e1c

232220100501020 has 96 divisors (see below), whose sum is σ = 522754943308416. Its totient is φ = 86425445145600.

The previous prime is 232220100501017. The next prime is 232220100501047. The reversal of 232220100501020 is 20105001022232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232220100500983 and 232220100501001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63248030 + ... + 66818810.

It is an arithmetic number, because the mean of its divisors is an integer number (5445363992796).

Almost surely, 2232220100501020 is an apocalyptic number.

232220100501020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232220100501020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261377471654208).

232220100501020 is an abundant number, since it is smaller than the sum of its proper divisors (290534842807396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232220100501020 is a wasteful number, since it uses less digits than its factorization.

232220100501020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574671 (or 3574669 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 232220100501020 its reverse (20105001022232), we get a palindrome (252325101523252).

The spelling of 232220100501020 in words is "two hundred thirty-two trillion, two hundred twenty billion, one hundred million, five hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 3821 4255 7642 8510 15284 17020 19105 38210 76420 87883 141377 175766 282754 351532 439415 565508 706885 878830 1413770 1757660 2827540 3251671 3570781 6503342 7141562 13006684 14283124 16258355 17853905 32516710 35707810 65033420 71415620 82127963 132118897 164255926 264237794 328511852 410639815 528475588 660594485 821279630 1321188970 1642559260 2642377940 3038734631 6077469262 12154938524 13643954201 15193673155 27287908402 30387346310 54575816804 60774692620 68219771005 136439542010 272879084020 313810946623 504826305437 627621893246 1009652610874 1255243786492 1569054733115 2019305221748 2524131527185 3138109466230 5048263054370 6276218932460 10096526108740 11611005025051 23222010050102 46444020100204 58055025125255 116110050250510 232220100501020